314150400 has 360 divisors, whose sum is σ = 1177440264. Its totient is φ = 82944000.

The previous prime is 314150393. The next prime is 314150401. The reversal of 314150400 is 4051413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3110350 + ... + 3110450.

Almost surely, 2^314150400 is an apocalyptic number.

314150400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588720132).

314150400 is an abundant number, since it is smaller than the sum of its proper divisors (863289864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314150400 is an equidigital number, since it uses as much as digits as its factorization.

314150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 314150400 is about 17724.2884201313. The cubic root of 314150400 is about 679.7969405225.

The spelling of 314150400 in words is "three hundred fourteen million, one hundred fifty thousand, four hundred".